1. Bell work: Turn in when completed
For each triangle, identify the red line. Is it an altitude, median, angle bisector, perpendicular bisector, or none of the above?

2. Finding the Orthocenter
Triangle ABC has vertices A(1,3), B(2,7), and C(6,3). What is its orthocenter?
Triangle DEF has vertices D(1,6), E(6, 1), and F(4,2). What is its orthocenter?

3. 5-6: Inequalities in One Triangle

4. List the angles of the triangles from smallest to largest

5. Comparison Property of Inequality:
If a=b+c, and c>0, then a>b

6. Order the sides of the triangles from largest to smallest.
Angle S = 24 Degrees
Angle O = 130 Degrees

7. Can a triangle have these side lengths?
3, 7, 8
5, 10, 15

9. What is the range of possible 3rd side lengths for these triangles?
18, 23, x
5, 16, x

10. If a triangle has side lengths of 5 and 8, what are possible values for the 3rd side?
What if the sides were 4 and 7?

11. 5-7: Inequalities in Two Triangles

13. Using the Hinge Theorem
At which time are you farther from the base of the ride?

14. Using its converse: What are the possible values for x?

16. Homework: 5.6, pages 328-329: 6, 11, 15, 19, 27 Honors: Add 32, 34
Honors: Add 13, 17, 19a

17. Quiz Retakes…last chance for quiz 2 and 3

18. 5-6: For 11, 15, and 19, order the sides or angle from smallest-largest
For 27, find a range of possible values for the third side

19. 10. When is the arm closer to the base
10. When is the arm closer to the base? Justify your answer with the hinge theorem
5.7:
6. Compare the given sides with an inequality
11. Find the range of possible values for x